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000771084 1112_ $$aNANCAOT (Workshop)$$d(2014 :$$cSenegal, Dakar)
000771084 24510 $$aNon-associative and non-commutative algebra and operator theory$$h[electronic resource] :$$bNANCAOT, Dakar, Senegal, May 23-25, 2014: Workshop in Honor of Professor Amin Kaidi /$$cCheikh Thiécoumbe Gueye, Mercedes Siles Molina, editors.
000771084 2463_ $$aNANCAOT
000771084 260__ $$aCham :$$bSpringer,$$c2016.
000771084 300__ $$a1 online resource (254 p.)
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000771084 4901_ $$aSpringer Proceedings in Mathematics & Statistics ;$$vv.160
000771084 500__ $$a9.3.3 Congruence Modulo an Ideal of D""426830A x""526930B
000771084 5050_ $$aPreface; Non-Associative and Non-Commutative Algebra and Operator Theory; Contents; Part I Invited Talks; 1 Group Theory and the Capitulation Problem for Some Number Fields; 1.1 Introduction; 1.2 Main Results; 1.2.1 First Case: Cl2(k) is of Type (2, 2); 1.2.2 Second Case: Cl2(k) is of Type (2, 4); 1.2.3 Third Case: Cl2(k) is of Type (2, 2, 2); 1.3 Preliminary Results; 1.4 Proofs of the Main Results; 1.4.1 First Case: Cl2(k) is of Type (2, 2); 1.4.2 Second Case: Cl2(k) is of Type (2, 4); References; 2 On Space-Time Codes Arising from Free Modules and Algebras over an Integral Domain
000771084 5058_ $$a2.1 Introduction2.2 Free Modules and Free Algebras over an Integral Domain; 2.3 Examples of STBCs Over Integral Domains; 2.3.1 Examples from Extensions of Integral Domains; 2.3.2 Examples from Associative Algebras over Integral Domains; 2.3.3 An Example from Nonassociative Algebras over Integral Domains; References; 3 Graded Modules over Superconformal Algebras; 3.1 Introduction; 3.2 Lie Superconformal Algebras; 3.3 Jordan Superconformal Algebras; 3.4 Locality; 3.5 Graded Modules; References; 4 On Deformations of n-Lie Algebras; 4.1 Introduction
000771084 5058_ $$a4.2 Definitions and Examples of n-Lie Algebras and Other Types of n-ary Algebras4.2.1 n-Lie Algebras; 4.2.2 n-ary Algebras of Associative Type; 4.2.3 Representations of n-Lie Algebras; 4.2.4 Central Extensions; 4.3 Deformation Cohomology of n-Lie Algebras; 4.4 Formal Deformation of n-Lie Algebras; 4.4.1 One-Parameter Formal Deformation of n-Lie Algebras; 4.4.2 Noncommutative One-Parameter Formal Deformations; 4.5 Global Deformations; 4.6 The Algebraic Varieties Lienm and Degenerations ; 4.7 n-Lie-Poisson Algebras and Quantization; 4.7.1 n-Lie-Poisson Algebras
000771084 5058_ $$a4.7.2 Quantization of Nambu Mechanics4.7.3 Ternary Virasoro-Witt Algebras; References; 5 Morita Equivalence and Morita Invariant Properties: Applications in the Context of Leavitt Path Algebras; 5.1 Introduction; 5.2 Morita Equivalence for Rings Without a Unit Element: Local Rings at Elements; 5.3 Applications to Morita Invariant Properties; 5.4 Applications in the Context of Leavitt Path Algebras; References; 6 On Commuting U-Operators in Jordan Algebras; 6.1 An Introduction; 6.2 A Counter-Example; 6.3 The Non-degenerate Case; References; Part II Contributed Talks
000771084 5058_ $$a7 Gradings on Algebras over Algebraically Closed Fields7.1 Introduction; 7.2 Gradings; 7.3 Main Results; References; 8 On the Set of Artinian Subrings of Infinite Products of Rings; 8.1 Introduction; 8.2 Artinian Subrings of an Infinite Product of Rings; 8.3 The Set of Subrings Which Are Directed Unions of Artinian Subrings; References; 9 Noncommutative Gröbner Basis over a Divisible and Annihilable Ring; 9.1 Introduction; 9.2 Preliminaries; 9.2.1 D-A Rings; 9.2.2 Admissible Orderings; 9.3 Non Commutative Gröbner Bases; 9.3.1 Reduction; 9.3.2 A-polynomials
000771084 506__ $$aAccess limited to authorized users.
000771084 520__ $$aPresenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi's work focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world. .
000771084 588__ $$aDescription based upon print version of record.
000771084 650_0 $$aNonassociative algebras$$vCongresses.
000771084 650_0 $$aNoncommutative algebras$$vCongresses.
000771084 650_0 $$aOperator theory$$vCongresses.
000771084 7001_ $$aGueye, Cheikh Thiecoumbe.
000771084 7001_ $$aMolina, Mercedes Siles.
000771084 77608 $$iPrint version:$$aGueye, Cheikh Thiecoumbe$$tNon-Associative and Non-Commutative Algebra and Operator Theory : NANCAOT, Dakar, Senegal, May 23-25, 2014: Workshop in Honor of Professor Amin Kaidi$$dCham : Springer International Publishing,c2016$$z9783319329000
000771084 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv. 160.
000771084 852__ $$bebk
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